Answer: -7cos(x)
Step-by-step explanation:
d/dx (f(x))= -7cos(x)
Answer: the length of the rectangle is 12 inches
Step-by-step explanation:
Let the length of the rectangle is x inches
Hence, the width is (x/2)+4 inches
Thus,

Divide both parts of the equation by 3:

U subtract 4x by 5x and then you add 3 by -21 and the answer is x=18
Answer:
198.425 inches
Step-by-step explanation:
We have the frequencies for each of the grades. We can estimate the number of students graded by adding all those frequencies. Let's call N the total number of grades:

We have then a total number of grades of 39.
The corresponding relative frequency for a grade is the ratio of the frequency to the total number of "samples", 39 in this case.
Then, for grade A, the relative frequency (RF) will be:

This will be the fraction of the total grades that are A. Represented as a percentage will be 10.26%, rounded to two decimal places.
Now, to complete the table we do the same for the other frequencies:
For grade B:

For grade C:

For grade D:

For grade F: